Results 101 to 110 of about 357,245 (207)

Weighted Trapezoid and Midpoint Inequalities and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces
This paper is aimed at extending classical midpoint and trapezoid inequalities by incorporating a weight function, which serves as a versatile tool to bridge these inequalities with their fractional integral analogues.
Hüseyin Budak, Abdelghani Lakhdari, Mehmet Zeki Sarikaya   +2 more
doaj   +1 more source

Newton-type Inequalities for Fractional Integrals by Various Function Classes

Universal Journal of Mathematics and Applications
The authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals.
Hüseyin Budak, Tingsong Du, Fatih Hezenci   +2 more
doaj   +1 more source

Inequalities generated with Riemann-Liouville fractional integral operator

, 2019
The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson's type inequalities with the help of Riemann-Liouville fractional integral operator. In order to do this, a new fractional integral identity is obtained. Then by using this identity, some inequalities for the class of functions whose derivatives in absolute
Gürbüz M., Öztürk O., Gürbüz, Murat, Belirlenecek, Gürbüz, M., Department of Mathematics and Science Education, Faculty of Education, Ağrı İbrahim g? University, A?? 04100, Turkey; ?türk, O., Institute of Science and Technology, Ağrı İbrahim g? University, A?? 04100, Turkey   +4 more
openaire   +5 more sources

Enhancing Some Inequalities via Fractional Extended Riemann–Liouville Integrals: Jensen–Mercer Perspective

This paper aims to derive novel forms of trapezoid and midpoint inequalities within the context of fractional extended Riemann–Liouville integrals (FERLIs).
Hyder, Abd-Allah, BUDAK, HÜSEYİN
core   +1 more source

Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes

Fractal and Fractional
This paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals.
Mehmet Gümüş, Fatih Hezenci, Hüseyin Budak   +2 more
doaj   +1 more source

Positive solutions to a system of psi-Riemann–Liouville fractional differential equations with coupled boundary conditions

Nonlinear Analysis
We investigate the existence of positive solutions for a system of ψ-Riemann–Liouville fractional differential equations with positive parameters and sign-changing nonlinearities subject to nonlocal coupled boundary conditions containing Riemann ...
Alexandru Tudorache, Rodica Luca
doaj   +1 more source

A NOTE ON HERMITE-HADAMARD INEQUALITIES FOR PRODUCTS OF CONVEX FUNCTIONS VIA RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS

, 2014
In this paper, we obtain some new Hermite-Hadamard type inequalities for products of convex functions via Riemann-Liouville integrals.  We conclude that Our methods considered here may be a stimulant for further investigations concerning Hermite ...
Chen, Feixiang
core  

On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral

Axioms
In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce its properties.
openaire   +2 more sources

On weighted Montogomery identities for Riemann-Liouville fractional integrals

, 2012
In this paper, we extend the weighted Montogomery identities for the Riemann-Liouville fractional integrals. We also use this Montogomery identities to establish some new Ostrowski type integral inequalities.
Sarikaya, Mehmet Zeki, Yaldiz, Hatice
openaire   +2 more sources

Simpson-type inequalities for generalized riemann-liouville fractional integrals

Bu tez çalışması, genelleştirilmiş kesirli integral operatörü aracılığıyla sağ ve sol taraflı Riemann-Liouville kesirli integralleri yardımıyla Simpson tipi eşitsizliklerin incelenmesini konu almaktadır.
Alemdar, Cavit
core   +1 more source